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Why is a wavelength (or fraction of) in coax cable physically shorter than what I calculate from the formula for wavelength?

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Why is a wavelength (or fraction of) in coax cable physically shorter than what I calculate from the formula for wavelength?

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The formula you used to calculate the wavelength was probably meant for calculating a “free space” (air) wavelength. In fact, RF energy moves more slowly in a transmission line than it does in air because the materials used in cable slow it down. Therefore, a wavelength in cable takes up less length. The appropriate formula for the calculation of the guided wavelength is: where is the dielectric constant of the material (1 for the air, and 1 for other types of material). This value increases as a function of the frequency.

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